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van Roosbroeck's equation; steady-state carrier distribution; semiconductor devices; existence; van Roosbroeck's system; transport of mobile charge carriers; spatially homogeneous semiconductor devices; Fermi-Dirac statistics; Schauder's fixed point theorem; unique steady- state
The author proves the existence of solution of Van Roosbroeck's system of partial differential equations from the theory of semiconductors. His results generalize those of Mock, Gajewski and Seidman.
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